1-y -x. dy at the point (0,1) given the curve dx Find the value of 1+y

Q: Let a = (1,2,3),b = (4, –3, –1),c=(-5, –3,5) and d = (-2, 1,6).Find: %3D а. а+ 5b b. [7c| – |5d| c.…

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Q: Σ (-1)" n=1 3-4n-1

A: topic - geometric series

Q: 3. Determine the following a A negative angle in radian measure coterminal to Show calculation steps…

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Q: r= sin E-0) in first quarter.

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Q: 36. (х, у) —- (0, 0) lim (x + y²) In(x² + y²)

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Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until twO…

A: Let's find.

Q: Question 18 Consider Evaluate O (9x4+6x)e (x3+y2) O (3x²+6x)e «³+y?) O (6x²+ 3x)e «³+y?) O (6r*+9x)e…

A: Topic = Derivative

Q: Q2) Solve the D.E dy – (2x/1- y²)dx = 0

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Q: Helene invests Php 5,000 in an investment that earns 6% per annum. How many complete years doe it…

A: Topic = Algebra

Q: Q2) Solve the D.E x²dy + (3xy- 1)dx 0

A: Here we have to solve the given differential equation x2dy+3xy-1dy=0 ............................…

Q: 4.) f (x) = %3D x3 5.) f (x) = 2x² + Vx

A: we have to find the differentiation of given function

Q: 12t – cos 31) dt sin7t sin4t dt = A True B False

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Q: (z*sin - 2° cos 2y cos r2 y? dr+2xy cos ,dy = 0.

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Q: dy Vy+2 sinnx costx dx

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Q: 10 if f(x)= t +P, then %3D f'(X) = f'(-2)=

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Q: Solve the particular solution of the equation dy/dx = 3x² - 2x, when y=2 and x=-1.

A: We can solve the given problem as follows:

Q: Find the Area bounded by the curves y? = x and x = 2y – y².

A: Draw the graphs of the given curves and mark the intersection area.

Q: Determine an antiderivative, y, of the given derivative, y. Then use the given condition on y to…

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Q: Sx³e** dx

A: To evaluate: ∫x3e4x dx

Q: 4. Estimate the net area under the curve bounded by the x-axis from x = 1 to x = 7 with 12…

A: answer is in next step

Q: Find volume of body bounded by z 0 from below and z = 4 - y from above inside y = x2 ,y = 4 .

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Q: The triangle ABC is defined by the vertices A(1, -2, 2), B(1, 4, 0) and C(-4, 1, 1). Let M be the…

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Q: Find the surface area of the cone z = x² + y2 that lies between the plane y = x and the cylinder y =…

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Q: x- 2 For the function f(x) = x-5 a. the graph of the function is until x = 2 only. O b. the graph of…

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Q: 2. Use a parametrization to express the area of the given surface as a double integral and then…

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Q: Which of the following limits has a value 0? In x I. lim II. lim X-0 e* Neither I nor II. O l only…

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Q: Let f(x) be the function 11a - 5x+4. Then the quotient f(8 + h) - f(8) can be simplified to ah + b…

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Q: 1 lim X0-x23

A: Given,limx→ 0-1x23We know that,For x approaching 0 from the left, x<0  ⇒   x23<0The…

Q: Q2) Convert the polar function r tan20 to cartesian.

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Q: .4 4-y Q3) Evaluate triple integral , S S dz dy dx.

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Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

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Q: The radius of a spherical balloon is increasing at the rate of 2 cm per minute. How fast is the…

A: Let r be the radius of spherical ballon

Q: Which of the following yields the value 3187 (8r+7y)dudy (8r+7y)dydx (8r+7)dudy O none of the oices

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Q: If u,v,w are three vectors such that each is inclined at an angle of 4 with the other two, and that…

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Q: Consider --e +y?). 3+3² Evaluate dxdy

A: We have to find partial derivatives for the given function.

Q: Consider the function f(x) = 3 sin (). Construct the interpolation polynomial which interpolates the…

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Q: -6x-'dx

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Q: An object moves with acceleration function a(t) = 5 + 2t – 9t². Its initial velocity is v(0) = 6 m/s…

A: Find out the position after t seconds.

Q: Use the limit definition to compute the derivative of the function f(x) = Vx + 2 at x = 1. (Use…

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Q: Q4/ solve the equation by Newton -Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy…

A: Let's find.

Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 4.

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Q: Find the area of the part of the sphere x2 + y? + z² = 4z that lies inside the paraboloid z = x2 +…

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Q: Is it a function? 4 12 yes or no -1 -3 -4 -5 -21 Explain. 1 -3 4 12 -2

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Q: Find the AuRtaYe value of f(x) = x* on the intervai 2,67

A: answer is in next step

Q: Evaluate: / yº sech(eThy ) tanh (e "hy ) dy 7Iny -mch(v^) + C None -ech"(,?) + C

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Q: Evaluate triple integral , S S dz dy dx. 4-y -2 Jx2 Jo

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Q: Evaluate the following integral using Partial Fractions Method: x3 + x? y = dx %3D x2 + x – 2

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Q: Q3) Evaluate triple integral dz dy dx.

A: A detailed solution is given below

Q: Q5) Find volume of body bounded by z? + y? + x? = 9.

A: Let's find.

Q: Question r Use the Second Derivative Test to find the location of all local extrema in the interval…

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